Calculus
Area & Volume
(Q1.) Consider the region bounded by: y = 21 x and y = x
Set up an integral for the followings…
(a) the area
(b) volume obtained by rotating the region about the x-axis
(c) volume obtained by rotating the region about the y-axis
(d) volume obtained by rotating the region about x = 5
1
(Q2.) Consider the region bounded by: y = 41 x , the y-axis and y = 2
Set up an integral for the followings…
(a) the area
(b) volume obtained by rotating the region about the x-axis
(c) volume obtained by rotating the region about y = 2
(d) volume obtained by rotating the region about the y-axis
2
(Q3.) Consider the region bounded by: y = ! x 2 + 6x ! 5 , the x-axis
Set up an integral for the followings…
(a) the area
(b) volume obtained by rotating the region about the x-axis
(c) volume obtained by rotating the region about the y = – 1
(d) volume obtained by rotating the region about the y-axis
(e) volume obtained by rotating the region about the x = 1
(f) volume obtained by rotating the region about the x = 6
3